Answer:
[tex]x = 3.5[/tex]
Step-by-step explanation:
Given
Attached Triangle
Required
Find x
To solve for x, we make use of the following equivalent ratios:
[tex]CB : BA = ED : DA[/tex]
Where:
[tex]CB = 2[/tex]
[tex]BA = 4[/tex]
[tex]ED = x[/tex]
[tex]DA = 3 + 4 = 7[/tex]
So, the expression becomes:
[tex]CB : BA = ED : DA[/tex]
[tex]2 : 4 = x : 7[/tex]
Express as fraction
[tex]\frac{2 }{ 4} = \frac{x }{ 7}[/tex]
Multiply both sides by 7
[tex]7*\frac{2 }{ 4} = \frac{x }{ 7}*7[/tex]
[tex]7*\frac{2 }{ 4} = x[/tex]
[tex]\frac{7*2 }{ 4} = x[/tex]
[tex]\frac{14}{4} = x[/tex]
[tex]3.5 = x[/tex]
[tex]x = 3.5[/tex]
